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arxiv: 2303.01900 · v1 · pith:U4REQBSPnew · submitted 2023-03-03 · 🧮 math.PR · math.CO

Central limit theorem for components in meandric systems through high moments

classification 🧮 math.PR math.CO
keywords theoremcentrallimitcomponentslargemeandricmomentsallows
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We investigate here the behaviour of a large typical meandric system, proving a central limit theorem for the number of components of given shape. Our main tool is a theorem of Gao and Wormald, that allows us to deduce a central limit theorem from the asymptotics of large moments of our quantities of interest.

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